1064386368 has 84 divisors (see below), whose sum is σ = 3056245348. Its totient is φ = 354170880.

The previous prime is 1064386331. The next prime is 1064386409. The reversal of 1064386368 is 8636834601.

1064386368 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 8 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 468635904 + 595750464 = 21648^2 + 24408^2 .

It is a super-2 number, since 2×1064386368² = 2265836680768462848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420948 + ... + 423468.

Almost surely, 2^1064386368 is an apocalyptic number.

1064386368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528122674).

1064386368 is an abundant number, since it is smaller than the sum of its proper divisors (1991858980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1064386368 is a wasteful number, since it uses less digits than its factorization.

1064386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1064386368 is about 32624.9347585555. The cubic root of 1064386368 is about 1021.0173010857.

The spelling of 1064386368 in words is "one billion, sixty-four million, three hundred eighty-six thousand, three hundred sixty-eight".